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Finding the Fourth Proportional to 736.41, 1,097.12 and 701.58

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Solution

The fourth proportional to 736.41, 1,097.12 and 701.58 is: 1,045.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.41 : 1,097.12 = 701.58 : x
  2. Step 2: Convert to fraction form
    736.41/1,097.12 = 701.58/x
  3. Step 3: Cross multiply
    736.41x = 1,097.12 × 701.58
  4. Step 4: Simplify right side
    736.41x = 769,717.45
  5. Step 5: Solve for x
    x = 769,717.45/736.41
  6. Step 6: Final answer
    x = 1,045.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.